Math 0309 Practice Test 1 ch 1 and 2 Spring 2019 Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
1)Write the set using roster notation:
{x x and x > 12}
1)
2)Find the cardinal number for the set.
= {5, 10, 15, . . . , 50}
2)
3)Write the set using set-builder notation:
The set of natural numbers greater than 11.
3)
4)Let U = {4, 8, 12, 16, 20, 24, 28, 32} and A = {12, 16, 20, 28}. A' 4)
5)Find all subsets of the set. {1, 7, 11}. 5)
6)Use the Venn diagram and find A . 6)
7)Let U = {5, 10, 15, 20, 25, 30, 35, 40}
A = {5, 10, 15, 20}
B = {25, 30, 35, 40}
C = {10, 20, 30, 40}.
Find A B.
7)
8)Let U = {5, 10, 15, 20, 25, 30, 35, 40}
A = {5, 10, 15, 20}
B = {25, 30, 35, 40}
C = {10, 20, 30, 40}.
Find A' C'
8)
9)Determine whether each sentence is a statement or not.
i. 2 × 3 = 0 ii. He is not home.
iii. She went to Spain.
iv. Are you going to try again?
9)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
10)Which of the following is a simple statement? 10)
A)If he does his chores, he gets his allowance.
B)February is the shortest month.
C)Neither Evan nor Juan is coming to the party.
D)He has a dog and a cat.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
11)Write the negation of the statement.
Everyone at my house got the flu.
11)
12)Let p = "Steve has a cat." Let q = "Steve has a dog." Write the following statement in symbols.
It is false that Steve has a cat or Steve has a dog.
12)
13)Let p = "I made tea." and q = "I drank tea." Under what circumstances would the conjunction p q be true?
13)
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
14)Let p = "I made tea." and q = "I drank tea." Under what circumstances would the disjunction p q be true?
TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false.
15)Given that p = "Cancer can be fatal." and q = "There is a cure for all forms of cancer."
identify the truth value for each simple statement, then use that to decide if p q is true or false.
15)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
16)Complete the following truth table for the statement p ~q.
p q p ~q T T
T F F T F F
16)
17)Complete the following truth table.
p q p q ~(p q) ~(p q) p T T
T F F T F F
17)
18)Evaluate the expression for the given substitution.
3z - 7; when z = 3
18)
19)Evaluate the expression for the given substitution.
x
2 + 16; when x = 32 3
19)
20)Write the numbers in order from least to greatest.
11 8 , 9
4, 2.7, - 2 3, -0.9
20)
21)Simplify.
- 38
21)
TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false.
22)Determine if the statement is true or false.
- 1 5 - 8
9
22)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
23)Write the expression in expanded form using the definition of an exponent.
(3y)4
23)
24)Simplify the expression.
2 3
4
24)
25)Simplify the square root.
64
25)
26)Simplify the square root.
169
26)
27)Use the order of operations to simplify the expression.
6 + 3 ÷ 3 2 + 4
27)
28)Use the order of operations to simplify the expression.
-10 3 + 36 (36 - 34)2
28)
29)The area of a trapezoid is given by A = 1
2(b1 + b2)h, where b1 and b2 are the lengths of the two parallel sides and h is the height. A window is in the shape of a trapezoid. Find the area of the trapezoid with dimensions shown in the figure.
b2 = 4 ft h = 3 ft
b1 = 8 ft
29)
30)Maureen had $857 in her savings account at the beginning of the month. She withdrew $40 on the third, deposited a $121 paycheck on the sixth, and withdrew
$20 on the tenth. Write a mathematical expression that describes her account balance, then simplify the result.
30)
31)In one 24-hour period in Toledo, Ohio, the high temperature was 27 degrees and the low temperature was -8 degrees. Find the temperature range for that day (i.e., the difference between the high and low temperatures).
31)
33)Perform the indicated operations.
9 - 2 + 5 10 + (-8)
33)
34)Multiply the real numbers.
3
5 - 20 3
34)
35)Simplify the exponential expression.
(-2)6
35)
36)Simplify the exponential expression.
- 1 3
4
36)
37)Divide the real numbers.
56 -7
37)
38)Divide the real numbers.
-42 ÷ (-3)
38)
39)Perform the operations.
5 (-6) ÷ 2 + (4 - 7)3 2 (-1)
39)
40)Perform the operations.
-3 + 10 4 (-6) + 24
40)
41)Use the commutative property of multiplication to rewrite the expression.
z(-17)
41)
42)Use the associative property of multiplication to rewrite the expression.
7(3t)
42)
43)Use the distributive property to clear the parentheses.
2(10x + 7)
43)
44)Use the distributive property to clear the parentheses.
- (a - 6n + 4)
44)
45)Simplify by combining like terms.
2
3y + 5 - 5 3y + 1
2
45)
46)Simplify by clearing parentheses and combining like terms.
10(5y - 4) - 11y
46)
47)Simplify by clearing parentheses and combining like terms.
15 - 2[3(z + 1) - 6(z -2)]
47)
Answer Key
Testname: MATH 0309 TEST1 SPRING 2019 CH1_2_SA
1){13, 14, 15, 16, . . .}
2)n( ) = 10
3){x x and x > 11}
4)A' = {4, 8, 24, 32}
5) ; {1}; {7}; {11}; {1, 7}; {1, 11}; {7, 11}; {1, 7, 11}
6)A B = {r, s}
7)A B =
8)A' C' = {5, 15, 25, 30, 35, 40}
9)Yes, Yes, Yes, No
10) B
11)Not everyone at my house got the flu.
12)~( p q)
13)If you both made and drank tea.
14)If you made tea or you drank tea or both.
15) FALSE 16)
p q p ~q T T T T F T F T F F F T
17)
p q p q ~(p q) ~(p q) p
T T T F T
T F T F T
F T T F T
F F F T F
18)2
19) 64 3
20)-0.9, - 2 3, 11
8 , 9 4, 2.7
21)-38
22) TRUE
23)3y 3y 3y 3y
24) 16 81
25)8
Answer Key
Testname: MATH 0309 TEST1 SPRING 2019 CH1_2_SA
28) 3 2
29)18 ft2
30)857 + (-40) + 121 + (-20) = 918
31)35 degrees
32)13
33)6
34)-4
35)64
36)- 1 81
37)–8
38)14
39)21
40)undefined
41)-17z
42)(7 3)t
43)20x + 14
44)-a + 6n - 4
45)-y + 11 2
46)39y - 40
47)6z - 15
